en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=(-7)/(x^2-1)

Solution

extreme points

f (x) = \frac{- 7}{x ^{2} - 1}

Solution

Minimum (0, 7)

Solution steps

f^{'} (x) = \frac{14 x}{( x ^{2} - 1 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Increasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 0

into

\frac{- 7}{x ^{2} - 1} : 7

Minimum (0, 7)

Popular Examples

extreme f(x)=xe^{-8x}extreme points

f (x) = x e^{- 8 x}

extreme f(x)=(4x)/(1+x^2)extreme points

f (x) = \frac{4 x}{1 + x ^{2}}

extreme f(x)=-2x^2+8x+7 extreme points

f (x) = - 2 x^{2} + 8 x + 7

extreme f(x)= 1/(sqrt(9-x^2-y^2))extreme points

f (x) = \frac{1}{9 - x ^{2} - y ^{2}}

extreme f(x,y)=48xy-32x^3-24y^2 extreme points

f (x, y) = 48 x y - 32 x^{3} - 24 y^{2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(-7)/(x^2-1) ?
The extreme f(x)=(-7)/(x^2-1) is Minimum(0,7)